A spectral sequence for Iwasawa adjoints

Abstract

We establish a purely algebraic tool for studying the Iwasawa adjoints of some natural Iwasawa modules for $p$-adic Lie group extensions of number fields, by relating them to certain continuous Galois cohomology groups via a spectral sequence.

16 pages, 7 figures

Cited by in corpus (9)

• Anticyclotomic Euler systems for unitary groups
• Mordell-Weil ranks and Tate-Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions
• On the growth of even $K$-groups of rings of integers in $p$-adic Lie extensions
• Higher Chern classes in Iwasawa theory
• Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above p
• Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction
• On the $\mu$ equals zero conjecture for the fine Selmer group in Iwasawa theory
• Residual supersingular Iwasawa theory and signed Iwasawa invariants
• On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in $p$-adic Lie extensions